A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at a = 0.05 level of significance. Using the level of significance a = 0.05, test whether the color distribution is the same. Click here to view the table. Click here to view the table of critical values of the chi-square distribution. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is the same as stated by the manufacturer. H,: The distribution of colors is not the same as stated by the manufacturer. O B. Ho: The distribution of colors is at most as uniform as stated by the manufacturer. H,: The distribution of colors is more uniform than stated by the manufacturer. O C. Ho: The distribution of colors is at least as uniform as stated by the manufacturer. H,: The distribution of colors is less uniform than stated by the manufacturer. D. Ho: The distribution of colors is not the same as stated by the manufacturer. H,: The distribution of colors is the same as stated by the manufacturer. Compute the expected counts for each color. Color Frequency Expected Count Brown 61 Yellow 63 Red 54 Blue 61 Orange 85 Green 64 (Round to two decimal places as needed.) What is the test statistic? (Round to three decimal places as needed.) What is the range of P-values of the test? The range of P-values of the test is Based on the results, do the colors follow the same distribution as stated in the problem?
A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at a = 0.05 level of significance. Using the level of significance a = 0.05, test whether the color distribution is the same. Click here to view the table. Click here to view the table of critical values of the chi-square distribution. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is the same as stated by the manufacturer. H,: The distribution of colors is not the same as stated by the manufacturer. O B. Ho: The distribution of colors is at most as uniform as stated by the manufacturer. H,: The distribution of colors is more uniform than stated by the manufacturer. O C. Ho: The distribution of colors is at least as uniform as stated by the manufacturer. H,: The distribution of colors is less uniform than stated by the manufacturer. D. Ho: The distribution of colors is not the same as stated by the manufacturer. H,: The distribution of colors is the same as stated by the manufacturer. Compute the expected counts for each color. Color Frequency Expected Count Brown 61 Yellow 63 Red 54 Blue 61 Orange 85 Green 64 (Round to two decimal places as needed.) What is the test statistic? (Round to three decimal places as needed.) What is the range of P-values of the test? The range of P-values of the test is Based on the results, do the colors follow the same distribution as stated in the problem?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16%
green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the
table. Test whether the bag of colored candies follows the distribution stated above at a = 0.05 level of significance. Using the level of significance
a = 0.05, test whether the color distribution is the same.
Click here to view the table. Click here to view the table of critical values of the chi-square distribution.
Determine the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: The distribution of colors is the same as stated by the manufacturer.
H,: The distribution of colors is not the same as stated by the manufacturer.
B. Ho: The distribution of colors is at most as uniform as stated by the manufacturer.
H,: The distribution of colors is more uniform than stated by the manufacturer.
O C. Ho: The distribution of colors is at least as uniform as stated by the manufacturer.
H,: The distribution of colors is less uniform than stated by the manufacturer.
O D. Ho: The distribution of colors is not the same as stated by the manufacturer.
H,: The distribution of colors is the same as stated by the manufacturer.
Compute the expected counts for each color.
Color
Frequency
Expected Count
Brown
61
Yellow
63
Red
54
Blue
61
Orange
85
Green
64
(Round to two decimal places as needed.)
What is the test statistic?
(Round to three decimal places as needed.)
What is the range of P-values of the test?
The range of P-values of the test is
Based on the results, do the colors follow the same distribution as stated in the problem?
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